Skills · Polynomials · Factoring

Factoring ax² + bx + c

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. 2x² + 19x + 35 =
  2. 2x² + 15x + 7 =
  3. 3x² + 17x + 10 =
  4. 5x² + 31x + 30 =
  5. 5x² + 37x + 14 =
  6. 5x² + 32x + 35 =
  7. 5x² + 16x + 3 =
  8. 2x² + 13x + 20 =

Answer key

  1. (x + 7)(2x + 5)
  2. (x + 7)(2x + 1)
  3. (x + 5)(3x + 2)
  4. (x + 5)(5x + 6)
  5. (x + 7)(5x + 2)
  6. (x + 5)(5x + 7)
  7. (x + 3)(5x + 1)
  8. (x + 4)(2x + 5)

Sample Sheet · Level 3

  1. 4x² + 8x + 3 =
  2. 7x² + 33x + 20 =
  3. 3x² − 8x + 5 =
  4. 9x² + 36x + 35 =
  5. 5x² + 16x + 12 =
  6. 3x² − 11x + 10 =
  7. 12x² + 72x + 105 =
  8. 20x² + 82x + 42 =

Answer key

  1. (2x + 1)(2x + 3)
  2. (x + 4)(7x + 5)
  3. (x − 1)(3x − 5)
  4. (3x + 5)(3x + 7)
  5. (x + 2)(5x + 6)
  6. (x − 2)(3x − 5)
  7. 3(2x + 5)(2x + 7)
  8. 2(2x + 7)(5x + 3)

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Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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